509913147 has 16 divisors (see below), whose sum is σ = 720645120. Its totient is φ = 319604352.

The previous prime is 509913143. The next prime is 509913161. The reversal of 509913147 is 741319905.

It is a happy number.

It is not a de Polignac number, because 509913147 - 2² = 509913143 is a prime.

It is a super-2 number, since 2×509913147² = 520022834966887218, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (509913143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48178 + ... + 57800.

It is an arithmetic number, because the mean of its divisors is an integer number (45040320).

Almost surely, 2^509913147 is an apocalyptic number.

509913147 is a deficient number, since it is larger than the sum of its proper divisors (210731973).

509913147 is a wasteful number, since it uses less digits than its factorization.

509913147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682.

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 509913147 is about 22581.2565416542. The cubic root of 509913147 is about 798.9116173463.

The spelling of 509913147 in words is "five hundred nine million, nine hundred thirteen thousand, one hundred forty-seven".